Differential Geometry pdf epub mobi txt 電子書 下載2025
- DifferentialGeometry
- 數學
- 微分幾何
- 幾何學
- 數學
- 拓撲學
- 流形
- 黎曼幾何
- 麯綫麯麵
- 高等數學
- 數學分析
- 幾何
具體描述
This carefully written book is an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. The second part studies the geometry of general manifolds, with particular emphasis on connections and curvature. The text is illustrated with many figures and examples. The prerequisites are undergraduate analysis and linear algebra. This new edition provides many advancements, including more figures and exercises, and—as a new feature—a good number of solutions to selected exercises.
著者簡介
Wolfgang Kühnel: University of Stuttgart, Stuttgart, Germany
圖書目錄
Title page 4
Contents 6
Preface to the English edition 10
Preface to the German edition 12
Chapter 1. Notations and prerequisites from analysis 14
Chapter 2. Curves in ℝⁿ 20
Chapter 3. The local theory of surfaces 68
Chapter 4. The intrinsic geometry of surfaces 146
Chapter 5. Riemannian manifolds 210
Chapter 6. The curvature tensor 246
Chapter 7. Spaces of constant curvature 278
Chapter 8. Einstein spaces 322
Solutions to selected exercises 374
Bibliography 404
List of notation 408
Index 410
Copying and reprinting notice 416
Other titles in this series 417
Back Cover 418
· · · · · · (收起)
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前四章，跳瞭一部分Minkowski空間的內容，內容很緊湊豐富，觀點也挺高的，反正比我以前看的梅嚮明的要高。略難，非常喜歡
评分前四章，跳瞭一部分Minkowski空間的內容，內容很緊湊豐富，觀點也挺高的，反正比我以前看的梅嚮明的要高。略難，非常喜歡
评分前四章，跳瞭一部分Minkowski空間的內容，內容很緊湊豐富，觀點也挺高的，反正比我以前看的梅嚮明的要高。略難，非常喜歡
评分前四章，跳瞭一部分Minkowski空間的內容，內容很緊湊豐富，觀點也挺高的，反正比我以前看的梅嚮明的要高。略難，非常喜歡
评分前四章，跳瞭一部分Minkowski空間的內容，內容很緊湊豐富，觀點也挺高的，反正比我以前看的梅嚮明的要高。略難，非常喜歡
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